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(a) Estimate the work done by the force shown on the graph (Fig. 11-33) in displacing a particle from x = 1 m to x = 3 m. Refine your method to see how close you can come to the exact answer of 6 J. (b) The curve is given analytically by F x = A/x 2 , where A = 9 Nāˆ™ m 2 . Show how to calcite the work by the rules of integration.

(a) Estimate the work done by the force shown on the graph (Fig. 11-33) in displacing a particle from x = 1 m to x = 3 m. Refine your method to see how close you can come to the exact answer of 6 J. (b) The curve is given analytically by Fx = A/x2, where A = 9 Nāˆ™ m2. Show how to calcite the work by the rules of integration.

Grade:upto college level

1 Answers

Abhinav
askIITians Faculty 387 Points
8 years ago
work done by force is given by f.ds

here
f=9/x2

on integrating between limits x=1 to x=3

workdone =[-9/x]31
hence w.d = 6 J

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